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Finding the Fourth Proportional to 10,252.05, 14,162.09 and 9,719.88

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Solution

The fourth proportional to 10,252.05, 14,162.09 and 9,719.88 is: 13,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.05 : 14,162.09 = 9,719.88 : x
  2. Step 2: Convert to fraction form
    10,252.05/14,162.09 = 9,719.88/x
  3. Step 3: Cross multiply
    10,252.05x = 14,162.09 × 9,719.88
  4. Step 4: Simplify right side
    10,252.05x = 137,653,766.75
  5. Step 5: Solve for x
    x = 137,653,766.75/10,252.05
  6. Step 6: Final answer
    x = 13,426.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.